Wanda has $3.55 in dimes and quarters. She has 3 more quarters than dimes.



How many quarters does she have?

1 answer

Let's start by using algebra to solve the problem.

Let d be the number of dimes that Wanda has.

Then we know that she has 3 more quarters than dimes, so the number of quarters she has can be written as d + 3.

We also know that the total amount of money she has in dimes and quarters is $3.55.

We can set up an equation based on these facts:

0.1d + 0.25(d + 3) = 3.55

Simplifying this equation, we get:

0.35d + 0.75 = 3.55

Subtracting 0.75 from both sides:

0.35d = 2.8

Dividing both sides by 0.35:

d = 8

So Wanda has 8 dimes.

We also know that she has 3 more quarters than dimes, or d + 3.

So she has 8 + 3 = 11 quarters.

Therefore, Wanda has 11 quarters.